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Simplifying 3u2 + 39u + -90 = 0 Reorder the terms: -90 + 39u + 3u2 = 0 Solving -90 + 39u + 3u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(-30 + 13u + u2) = 0 Factor a trinomial. 3((-15 + -1u)(2 + -1u)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + -1u)' equal to zero and attempt to solve: Simplifying -15 + -1u = 0 Solving -15 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1u = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1u = 0 + 15 -1u = 0 + 15 Combine like terms: 0 + 15 = 15 -1u = 15 Divide each side by '-1'. u = -15 Simplifying u = -15Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {-15, 2}
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